In this letter,a new recursive algorithm to implement phase retrieval from two intensities in the two-dimensional Fourier transform domain is presented.In terms of the cascading property and additivity of the order of...In this letter,a new recursive algorithm to implement phase retrieval from two intensities in the two-dimensional Fourier transform domain is presented.In terms of the cascading property and additivity of the order of the fractional Fourier transform,a set of convolution equations is exactly derived.Applying recursive algorithm,these equations can be easily solved.This approach simplifies significantly computational manipulations comparing with conventional iterative algorithms and does not need initial phase distribution.展开更多
Fourier变换系统中的相位恢复问题在天文学、衍射光学、电子显微学、X射线晶体学、全息成像以及逆源问题等领域都有重要应用。在实际问题中直接测量的数据常常只是波场的强度分布,而波场的相位分布往往很难直接测量,甚至是不可能的。因...Fourier变换系统中的相位恢复问题在天文学、衍射光学、电子显微学、X射线晶体学、全息成像以及逆源问题等领域都有重要应用。在实际问题中直接测量的数据常常只是波场的强度分布,而波场的相位分布往往很难直接测量,甚至是不可能的。因此,从强度测量数据来恢复相位分布的问题一直受到人们广泛的关注。 Fourier变换系统中的相位恢复问题就是用已知输入平面波函数f(x)的模|f(x)|和输出平面波函数F(u)的模,|F(u)|重构函数f(x)(或F(u)),其中F(u)是f(x)的Fourier变换,即 F(u)=integral from n=-∞ to ∞(f(x)e^(-2πjux)dx)展开更多
文摘In this letter,a new recursive algorithm to implement phase retrieval from two intensities in the two-dimensional Fourier transform domain is presented.In terms of the cascading property and additivity of the order of the fractional Fourier transform,a set of convolution equations is exactly derived.Applying recursive algorithm,these equations can be easily solved.This approach simplifies significantly computational manipulations comparing with conventional iterative algorithms and does not need initial phase distribution.
文摘Fourier变换系统中的相位恢复问题在天文学、衍射光学、电子显微学、X射线晶体学、全息成像以及逆源问题等领域都有重要应用。在实际问题中直接测量的数据常常只是波场的强度分布,而波场的相位分布往往很难直接测量,甚至是不可能的。因此,从强度测量数据来恢复相位分布的问题一直受到人们广泛的关注。 Fourier变换系统中的相位恢复问题就是用已知输入平面波函数f(x)的模|f(x)|和输出平面波函数F(u)的模,|F(u)|重构函数f(x)(或F(u)),其中F(u)是f(x)的Fourier变换,即 F(u)=integral from n=-∞ to ∞(f(x)e^(-2πjux)dx)
